Answer:
You refer to the given data and draw a histogram
On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. Label this axis with the type of data shown (word count or subjects.)
Draw a bar extending from the lower value of each interval to the lower value of the next interval. The height of each bar should be equal to the frequency of its corresponding interval.
Step-by-step explanation:
Example: The following is a list of prices (in dollars) of birthday cards found in various drug stores:
1.45 2.20 0.75 1.23 1.25
1.25 3.09 1.99 2.00 0.78
1.32 2.25 3.15 3.85 0.52
0.99 1.38 1.75 1.22 1.75
Make a frequency distribution table for this data.
We omit the units (dollars) while calculating. The values go from 0.52 to 3.85, which is roughly 0.50 to 4.00. We can divide this into 7 intervals of equal length: 0.50 - 0.99, 1.00 - 1.49, 1.50 - 1.99, 2.00 - 2.49, 2.50 - 2.99, 3.00 - 3.49, and 3.50 - 3.99. Then we can count the number of data points which fall into each interval--for example, 4 points fall into the first interval: 0.75, 0.78, 0.55, and 0.99--and make a frequency distribution table:
Intervals (in dollars) Frequency
0.50 - 0.99 4
1.00 - 1.49 7
1.50 - 1.99 3
2.00 - 2.49 3
2.50 - 2.99
3.00 - 3.49 2
3.50 - 3.99 1
Total 20
Making a Histogram Using a Frequency Distribution Table
A histogram is a bar graph which shows frequency distribution.
To make a histogram, follow these steps:
On the vertical axis, place frequencies. Label this axis "Frequency".
On the horizontal axis, place the lower value of each interval. Label this axis with the type of data shown in pictures not in data being emails along the y axis and word count or delivery dtaes up on the x axis (etc.)
Draw a bar extending from the lower value of each interval to the lower value of the next interval. The height of each bar should be equal to the frequency of its corresponding interval.
Example: Make a histogram showing the frequency distribution of the price of birthday cards.
Information From a Histogram
Histograms are useful because they allow us to glean certain information at a glance. The previous example shows that more birthday cards cost between $1.00 and $1.49 than any other price, because the bar which corresponds to those values is highest. We can also see that twice as many cards cost between $3.00 - $3.49 as cost between $3.50 - $3.99, because the bar which corresponds to $3.00 - $3.49 is twice as high as the bar which corresponds to $3.50 - $3.99.
The grade is the ratio of rise to run, i.e. the slope aka the tangent.
Answer: (a) 6 degrees
For part b, the road is the hypotenuse c of a right triangle whose tangent of the small angle is 1/10. The height h or rise is the side opposite the small angle.
We could just take the sine of the angle we got but let's get it from the tangent exactly.
Dividing by squared cosine
Answer: (b) Rise of 0.199 km